It's possible, but you have to look at spring rates and other considerations. Back in the 90s when lowering common cars became popular, people were lowering Honda Civics, Accords, etc. These cars didn't have extremely sporty or great dampening shocks. The spring manufacturers were catering to a scene of performance enthusiasts so not only were they lowering cars they were greatly increasing spring rates to make cars sportier, stiffer and all the things that culture of buyers wanted. Also, some drops were in excess of 2" so they needed to be hyper-stiff just to prevent the car from bottoming out. In these economy car cases, the struts would fail earlier, so it became sort of known, "Never do springs without struts.". Some of that has lived on.
At least for the Performance model, many of these springs aren't ridiculously stiffer and the struts themselves are already designed with some performance attributes and track use in mind (not what Honda was working on with Civics and Accords). I've lowered a lot of cars and have found good success with lowering BMWs and Audis and other performance oriented cars with sporty shocks and never had issues with stock struts, but I don't keep cars for more than 5 years and these are usually more refined 1" drops on cars that were already fairly stiff and sporty. Just food for thought.
Finally, outside of full coil-overs which are overkill for me (I just wanted aesthetics), I'm not aware of any specific high quality sport dampners out there. I'm sure with the popularity of the 3, someone will produce them so may be an option down the road.